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Use Proportions to Solve Geometric Problems

Use Proportions to Solve Geometric Problems. 6.2. Proportion Properties. The Reciprocal Property: If two ratios are equal, then their reciprocal is also equal. Basically, you can flip ratios to make new equivalent ratios. Examples. If , then. Proportion Properties.

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Use Proportions to Solve Geometric Problems

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  1. Use Proportions to Solve Geometric Problems 6.2

  2. Proportion Properties • The Reciprocal Property: • If two ratios are equal, then their reciprocal is also equal. • Basically, you can flip ratios to make new equivalent ratios.

  3. Examples If , then

  4. Proportion Properties • If you have 2 ratios equal to each other, then the numerators can be turned into a new ratio and the denominators into another new ratio.

  5. Examples

  6. Proportion Properties cont. • You can add the denominator of each ratio to the numerator to get a new ratio.

  7. Examples

  8. True or False? true true false true

  9. True or False? false true true true

  10. True or False? false true true

  11. BA = 12, BD = x – 3 = 12 – 3 = 9

  12. What do I know? XW = 1, XY = 3, YZ = 2, and WV is unknown so WV = x 1(2) = 3x 2 = 3x

  13. SR = 3, RQ = 4, ST = 6, and TU = x

  14. BC = x, AB = 12, CD = 24, and DE = 18

  15. HI = 21, GH = 14, JK = x, and KD = 12

  16. Worksheet

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